Calculus Homework Answers & Questions Page 8

• How do you use the Mean Value Theorem to estimate f(6)−f(2) if suppose f(x) is continuous on [2,6] and −4≤f′(x)≤4 for all x in (2,6)?

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• What is the horizontal asymptote of ##y=e^x## ?

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• How do you find the area between two curves using integrals?

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• How do you find the equations of the tangent lines to the curve ##y= (x-1)/(x+1)## that are parallel to the line ##x-2y = 2##?

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• How do you find the derivative of ##y= 10^(1-x^2)## ?

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• How do you find the slope of the line normal to the curve ##(x^2+4)*y=8##?

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• How do you determine if ##f(x,y)=-x^3+3x^2y^2-2y^2## is homogeneous and what would it's degree be?

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• How do you find the Slope of the curve ##y=sqrt(x)## at the point where ##x=4##?

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• How do you find ##lim (x+1)^(3/2)-x^(3/2)## as ##x->1^+##?

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• What is the derivative of ##y=csc^2(x)##?

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• What is the integral of ##sin(2x)cos^2(2x)dx##?

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• How do you find the first derivative of ##y=(sinx/(1+cosx))^2##?

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• What is jump discontinuity in math?

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• How do you evaluate the integral of ##(ln x)^2 dx##?

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• Find the limit as x approaches infinity of ##y=ln( 2x )-ln(1+x)##?

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• How do you derive y=tanx using the definition of the derivative?

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• How do you find the area of an ellipse using integrals?

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• How do you use logarithmic differentiation to find the derivative of ##y=(tanx)^(1/x)##?

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• How many turning points can a cubic function have?

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• How do you find the derivative of ##y = cos 2x##?

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• How do you find values of δ that correspond to ε=0.1, ε=0.05, and ε=.01 when finding the limit of ##(5x-7)## as x approaches 2?

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• How do you find the carrying capacity of a population growing logistically?

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• A Norman window has the shape of a rectangle surmounted by a semicircle. The perimeter of the window is 30 ft. The objective is to find the dimensions of the window so that the greatest possible amount of light is admitted. Domain of the model?

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• How doyou find the derivative of ##2sinxcosx##?

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• How do you Find the Riemann sum for ##f(x)=sinx## on the interval ##[0,pi]##?

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• How do you find the derivative for ##f(x)=sinxcosx##?

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• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function ##h(x) = int arctan t dt## from [2,1/x]?

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• How to determine which of the following functions are one-to-one ?

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• Statistics: what it is or what are they (i.e., it is singular or plural)?

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• Find an equation of the tangent line to the curve at the given point ? y= (sqrt x) , (49,7)

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• How do you find the arc length of the curve ##y = sqrt( 2 − x^2 )##, ##0 ≤ x ≤ 1##?

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• How do I find the integral ##int(x*sin(2x))dx## ?

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• How do you integrate ##sqrt(x^2-25)/x##?

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• How do you find the maclaurin series expansion of ##f(x)=cos3x##?

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• What is the derivative of ##y = cos(cos(cos(x)))##?

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• How do you find the integral of ##int 1/(1 + cot(x))##?

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• What is the average value of a function ##y=3x^5## on the interval ##[-3,3]##?

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• What is the Integral of ##tan^2 x sec^4 x dx##?

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• If the radius of a sphere is increasing at a rate of 4 cm per second, how fast is the volume increasing when the diameter is 80 cm?

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• Does tan(x) have points of discontinuity?

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• What is the integral of sin(x) dx from 0 to 2pi?

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• What is the derivative of ##f(theta)=arcsin(sqrt(sin(9theta)))##?

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• How do you find the derivative of ##ln(x/(x^2+1))##?

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• What is the derivative of ##y=4 sec ^2(x)##?

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• How do you find a vertical asymptote for y = tan(x)?

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• Find the limit as x approaches infinity of ##y=arctan(e^x)##?

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• What is the derivative of ##y## with respect to ##x## for ##y = 17^x##?

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• How do you calculate the double integral of ##(xcos(x+y))dr## where r is the region: 0 less than or equal to x less then or equal to ##(2pi)/6##, 0 less than or equal to y less than or equal to ##(2pi)/4##?

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• How do you graph ##f(x)=sinx-sqrt(3)cos x## for x is between [0, 2pi ]?

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• Is there any relation between, 1) Tangent ratio in trigonometry & Tangent of Circle? 2) Secant ratio in trigonometry & Secant of Circle?

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